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← CBSE Class 12 PYQ
Vector Algebra
CBSE Class 12 · Mathematics · 46 past questions
Topic
Basic vectors and position vectors
14
Dot product and angle between vectors
10
Assertion-reason and conceptual statements
6
Areas of parallelograms and triangles
5
Cross product and vector product properties
5
Projection of vectors
3
Direction cosines and angles with axes
2
Line parallel to a vector
1
Level
Easy
2
Moderate
3
Year
2026
1
2025
2
2024
1
2023
0
2022
1
5 of 46 ·
show all
Q5
2026
Vectors $\vec{a} = 3\hat{i} - 2\hat{j} + 2\hat{k}$ and $\vec{b} = \hat{i} + 2\hat{k}$ represent the two…
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Q15
2025
The diagonals of a parallelogram are given by $\vec a = 2\hat i - \hat j + \hat k$ and…
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Q21
2025
Show that the area of a parallelogram whose diagonals are represented by $\vec{a}$ and $\vec{b}$ is given by…
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Q24
2024
In the given figure, ABCD is a parallelogram. If $\overrightarrow{AB} = 2\hat{i} - 4\hat{j} + 5\hat{k}$ and…
(with a figure)
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Q46
2022
In a parallelogram PQRS, $\overrightarrow{PQ} = 3\hat{i} - 2\hat{j} + 2\hat{k}$ and…
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